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Reil [10]
3 years ago
8

An arts academy requires there to be 4 teachers for every 84 students and 3 tutors for every 30 students. How many students does

the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 110 students​?
Mathematics
1 answer:
Sonja [21]3 years ago
6 0

Answer:

21 students per teacher

10 students per tutor

10 tutors needed for 110 students

Step-by-step explanation:

84 ÷4=21

30÷3=10

110÷10=10

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Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph
Nastasia [14]

ANSWER:

y=2x-1

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}

The slope can be calculated as follows:

m=\frac{y_2-y_1}{x_2-x_1}

We use the points (4,7) and (1,1) to calculate the slope:

m=\frac{1-7}{1-4}=\frac{-6}{-3}=2

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}

Therefore, the equation would be:

y=2x-1

5 0
1 year ago
What is an equation of the line that passes through the points (−7,−7) and (−5,−3)?
Lana71 [14]
The answers is -10/13
3 0
3 years ago
Help ;(<br> Solve for x and y
andriy [413]

Step-by-step explanation:

this is the answer of the required questions

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3 0
2 years ago
What is the equation of this graphed line?
Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

Step-by-step explanation:

Here,  the two point line are given as  is A(-6,-3) and B(6,-7)

The slope of the line AB =  m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-7-(-3)}{6-(-6)}   = \frac{-7 + 3}{6 + 6}   = \frac{4}{12} \\\implies m = \frac{1}{3}

⇒ the slope of AB  is m =  (4/3)

By SLOPE  INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)=  m (x-x0)

⇒ The equation of line with point (6,-7) is:  

y + 7 = \frac{1}{3} (x-6)  \implies  3y + 21  - x + 6 - 0\\or, -x + 3y + 27 = 0

Now, the given equation is -x + 3y  = -27

Convert it in the  SLOPE INTERCEPT FORM  y = mx + c

We get, 3y = x - 27

or, y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9

Hence, the Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

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3 years ago
Solve for x. will mark brainliest ​
Veronika [31]

Answer: x=90

Step-by-step explanation: 11 x 7.5 =90

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3 years ago
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